4. Find x so that x + 6, x + 12 and x + 15 are consecutive terms of a Geometric Progression. 5. Find the sum of 10 terms of the geometric sequence : 1, 2, 4, 8, .

Q: Consider the permutation (t aqgblvxh)(n skw fue)(ycodjr)(p z m i). (a) Showing your working, and…

A: The complete solution is in given below

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A: a) To find domain, intercepts, and asymptotes of the given function, and to draw its graph.…

Q: 10 Find the projection of u =-14 onto the -15 -4 -4 subspace W of R' spanned by -6 | and 6.

A:

Q: Find the Solution (1+12) ds + 21[st² – 3(1+12)²]dt = 0; when t = 0, s = 2.

A: A linear polynomial equation which contain derivatives of some variables is named as linear…

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A: Given differential equation is y'' + 6y' + 10y = 0

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A: We will have to fill the given table that is we need to tell that which of the number sets ℕ,ℤ,ℚ,ℝ…

Q: (H) L~* [cot** ())

A:

Q: 1. Determine the magnitude and direction of the resultant force using the parallelogram method. F2 =…

A:

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A: Given: 1J+1W=1F Equation solved for J.

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A:

Q: Use the Laplace transform to solve x'-2y'=1;r'+y-x=0;x(0)=y(0)=0

A:

Q: Problem 5. Find all primes p such that 1+p· 2P is a perfect square.

A: Prime number : A prime number is a natural number greater than 1 that is not a product of two…

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A: The complete solution is in given below

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A:

Q: i. Look for or create your own linear transformation T: R" → R". where n, and m are both R³, both…

A: In this question, we have to find the examples of linear transformations : (A) T : ℝ3→ℝ3(B) T :…

Q: 4. Determine the number of zeros of the function f(2) = 2zª – 2iz³ + z² + 2iz – 1 - in the upper…

A:

Q: 15

A: the given equation is -15e=3 solving for e multiply both sides by e -15e×e=3×e -15=3×e

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A: 24ways

Q: Question 23 Find the solution. 2y dx = (x2-1)(dx - dy) %3D A (y-1)y (x+1)(cx + y- 2lnly+1|) B (x-1)x…

A:

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A: if an equation remain unaltered on unchanging x to 1/x it is called a reciprocal equation a…

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A: given hx=x4+2x2-x=3 and initial guess 1.0000 we need to find gx such that hx=0 that is…

Q: 1. In rolling a pair of dice, there are 36 possible outcomes in the sample space. a.) Find the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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A: Here we have to find the length of the median of the given trapezoid.

Q: Find the centroid of the region bounded by the graphs of the functions y = 4 sin(x), y = 1 and x =…

A: We can find the centroid by using formula

Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x

A:

Q: Perform Gauss-Seidel Method to the given system of linear equations. using x, = 0, continue…

A: Gauss Seidel Method :- Here we consider X1= x , X2  =y, and X3 =z then the equation becomes

Q: Find the solution. dy 2y +==x?y?sinx dx y = x?(sinx-c) B y = x²(cosx+c) (c) y = x²(cosr+c) D y = x (…

A:

Q: obtain the values of the following integrals. sin²nz+cos²nz dz on the contour |z – il = 3 A)…

A: A) the given integral is                      ∮z-i=3sin2πz+cos2πzz-1z-2dz Here the poles are at 1,2…

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A:

Q: 1 X(z) = (1– 2-')(1– z-3)

A: To Solve using partial fraction: X(z)=1(1-z-1)(1-z-2)

Q: 1-z Let C: |z-i|=9. Then ſ. -dz z(z+1) а) 0 b) 2ni с) — 2пі d) 4ni e) — 4лі f) 2п b. С. d. a.

A:

Q: the ratio of left-handed players to right-handed players in a baseball league is 2 to 5. There are…

A: Given :  The ratio of left handed players to right handed players is  2:5.               And the…

Q: 7. Evaluate fff, 4xydV, where E is the solid bounded by z = 2x2 + 2y2 – 7 and z = 1. You must use…

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Q: Construct a field F of cardinality 16 and find a generator of the

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Q: PROBLEM: Find the maxima/minima of the function: f(x) = 30x* – 121x³ + 60x² + 64x using Newton's…

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Q: Fill in with the missing integers given that each of the matrices below is diagonalizable. (a) If A…

A: This question related to diagonalizable matrix .

Q: 4. Mike wants to invest money every month for 30 years. He would like to have $500000 at the end of…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Use the given equation of lines to solve.

Q: Problem 1. Let x, y, u and v be row vectors in R' obeying: %3 (2, —1,3), у%3 (-3, 2, 2), X = and…

A:

Q: Consider a resource allocation (product mix) problem with the follow- ng optimal tableau: X1 X2 X3…

A: We have to find the allowable increase and decrease in the unit profit on product 2 so that the…

Q: Do the given points lie on a straight line? а. (1, -1), (-1, -5), (2,1) b. (-2, 2), (5, -8), (-7, 9)

A: The slope of the line between the points x0, y0, x1, y1 is y1-y0x1-x0. Calculate the slope of the…

Q: Let f(z) = ((z – 3i)? + 9)ez-si The Laurent series representation of f(z) in the domain 0 < |z – 3i|…

A: Given function is fz=z−3i2+9e1z−3i. We have to find the Laurent series expansion of the function fz…

Q: 10.(Straightforward) Find the general solution of these constant coeffi- cient linear inhomogeneous…

A:

Q: Problem 4. (a) Define a linear operator on R? by performing the following operations in order: • a…

A: Introduction: Through a linear transformation, we can change the coordinate of a point. There are…

Q: Find the solution. (Dª+2D3 + 10D2)y =0. @y = c,e-+czxe¯+e"(e,cos3r +c,sin3x) y = (c,+c,)x+e*(c,cos3x…

A: To solve the given Differential equation.

Q: A pie is removed from a refrigerator and thawed to 10 °C before being placed in an oven preheated at…

A: For the solution of the problem follow the next steps.

Q: Formulate equations for these problems to find the solution using Gauss-Jordan Elimination of the…

A:

Q: Let R be the region inside the curve C:r=1+cos0 and to the right of the line € : r = - sec 0. 2.1.…

A: Since you have posted a question with multiple subparts, we will solve first three sub parts for…

Q: 1) How many sitting orders are possible? 2) How many sitting orders are possible under the condition…

A: Here we use combination rules.